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68302080 = 2832572112
BaseRepresentation
bin1000001001000…
…11010100000000
311202112002211200
410010203110000
5114441131310
610435541200
71456362300
oct404432400
9152462750
1068302080
1135611400
121aa5a800
13111c5a42
1490dd600
155ee29c0
hex4123500

68302080 has 486 divisors, whose sum is σ = 302163498. Its totient is φ = 14192640.

The previous prime is 68302079. The next prime is 68302099. The reversal of 68302080 is 8020386.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 13660416 = 7392^2 + 3696^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6209275 + ... + 6209285.

Almost surely, 268302080 is an apocalyptic number.

68302080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151081749).

68302080 is an abundant number, since it is smaller than the sum of its proper divisors (233861418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68302080 is a wasteful number, since it uses less digits than its factorization.

68302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68302080 is about 8264.5072448392. The cubic root of 68302080 is about 408.7690224854.

The spelling of 68302080 in words is "sixty-eight million, three hundred two thousand, eighty".